NUMERIC

For the following exercises, given each function $f,$ evaluate $f(-3),f(-2),f(-1),$ and $f(0).$

$47.f(x)=\{\begin{array}{ccc}1& if& x-3\\ 0& if& x>-3\end{array}$

$48.f(x)=\{\begin{array}{ccc}-2x^2+3& if& x-1\\ 5x-7& if& x>-1\end{array}$

For the following exercises, given each function $f,$ evaluate $f(-1),f(0),f(2),$ and $f(4).$

$49.f(x)=\{\begin{array}{ccc}7x+3& if& x<mn>0</mn>\\ 7x+6& if& x0\end{array}$

$50.f(x)=\{\begin{array}{ccc}{x}^2-2& if& x<mn>2</mn>\\ 4+|x-5|& if& x2\end{array}$

$51.f(x)=\{\begin{array}{ccc}5x& if& x<mn>0</mn>\\ 3& if& 0x3\\ x^2& if& x>3\end{array}$

For the following exercises, write the domain for the piecewise function in interval notation.

$53.f(x)=\{\begin{array}{ccc}{x}^2-2& if& x<mn>1</mn>\\ -x^2+2& if& x>1\end{array}$

$54.f(x)=\{\begin{array}{ccc}2x-3& if& x<mn>0</mn>\\ -3x^2& if& x2\end{array}$